Thanks for your question.
There are a few possibilities. First the death rate of infants was much higher than it is now, so a possibility to consider is that the child died young. Also, during this time, when fathers died, whether the mother was living or not, they were considered orphans and it is possible the child was assigned a guardian who they lived with. A look at the 1790 census may help, however it groups all males under 16 together, it is worth a look though. There are also guardian records for Orange County at the State Archives that you may want to look through. This is a guide to county records with the Archives. You can go to Orange County and see what they have for guardian records, which are under the category of estate records. https://archives.ncdcr.gov/researchers/collections/government-records/co...
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Erin Bradford, Government and Heritage Library